Search references for LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY. Phrases containing LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
See searches and references containing LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY!LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
In algebraic geometry, a level structure on a space X is an extra structure attached to X that shrinks or eliminates the automorphism group of X, by demanding
Level structure (algebraic geometry)
Level_structure_(algebraic_geometry)
Branch of mathematics
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems
Algebraic_geometry
Branch of mathematics
Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local
Derived_algebraic_geometry
Property of mathematical objects
physical objects connected together by flexible hinges. Level structure (algebraic geometry) Prömel, Hans Jürgen; Voigt, Bernd (April 1986). "Hereditary
Rigidity_(mathematics)
Mathematical set with some added structure
to algebra. Algebraic geometry offers a way to apply geometric techniques to questions of pure algebra, and vice versa. Prior to the 1940s, algebraic geometry
Space_(mathematics)
Branch of mathematics
classes of algebraic structures. Algebraic methods were first studied in the ancient period to solve specific problems in fields like geometry. This changed
Algebra
Structure in algebraic geometry
In algebraic geometry, a motive (or sometimes motif, following French usage) is an abstract object introduced by Alexander Grothendieck in the 1960s as
Motive_(algebraic_geometry)
Classification scheme for mathematics
theory, proof theory, and algebraic logic) 05: Combinatorics 06: Order, lattices, ordered algebraic structures 08: General algebraic systems 11: Number theory
Mathematics Subject Classification
Mathematics_Subject_Classification
This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Algebraic curve in mathematics
dynamics Elliptic algebra Elliptic surface Comparison of computer algebra systems Isogeny j-line Level structure (algebraic geometry) Modularity theorem
Elliptic_curve
French mathematician (1928–2014)
of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory
Alexander_Grothendieck
Algebra used in certain conformal field theories
Journal of Algebraic Geometry, 3 (2): 347–374, ISSN 1056-3911, MR 1257326 Freed, Daniel S.; Hopkins, M.; Teleman, C. (2001), "The Verlinde algebra is twisted
Verlinde_algebra
Branch of mathematics
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including
Linear_algebra
Basic concepts of algebra
on variables, algebraic expressions, and more generally, on elements of algebraic structures, such as groups and fields. An algebraic operation on a
Elementary_algebra
Study of angle-preserving transformations of a geometric space
defined up to scale. Study of the flat structures is sometimes termed Möbius geometry, and is a type of Klein geometry. A conformal manifold is a Riemannian
Conformal_geometry
Mathematical theory
of a singular point of an algebraic variety; that is, to allow higher dimensions. Such singularities in algebraic geometry are the easiest in principle
Singularity_theory
Branch of mathematics
Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric
Noncommutative algebraic geometry
Noncommutative_algebraic_geometry
geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry
Glossary of arithmetic and diophantine geometry
Glossary_of_arithmetic_and_diophantine_geometry
Branch of mathematics
of vector calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It
Differential_geometry
Historical development of geometry
descendants of early geometry. (See Areas of mathematics and Algebraic geometry.) The earliest recorded beginnings of geometry can be traced to early
History_of_geometry
Concept in mathematics
In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials. It is also called
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
Mathematical structure in differential geometry
In differential geometry, a field in mathematics, a Poisson manifold is a smooth manifold endowed with a Poisson structure. The notion of Poisson manifold
Poisson_manifold
1957 book by Emil Artin
studying mathematics. From the Preface: Linear algebra, topology, differential and algebraic geometry are the indispensable tools of the mathematician
Geometric_Algebra_(book)
Set of mathematical concepts in quantum gravity
In quantum gravity, quantum geometry is the set of mathematical concepts that generalize geometry to describe physical phenomena at distance scales comparable
Quantum_geometry
Geometry without using coordinates
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic
Synthetic_geometry
Geometrical concept
In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional
Cross_section_(geometry)
algebraic geometry had been wrestling with two problems for a long time. The first was to do with its points: back in the days of projective geometry
History_of_topos_theory
Topological space that locally resembles Euclidean space
Euclidean space, an algebraic variety is glued together from affine algebraic varieties, which are zero sets of polynomials over algebraically closed fields
Manifold
Branch of differential geometry and differential topology
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds
Symplectic_geometry
the polynomial method is an algebraic approach to combinatorics problems that involves capturing some combinatorial structure using polynomials and proceeding
Polynomial method in combinatorics
Polynomial_method_in_combinatorics
Study of discrete mathematical structures
topic in discrete geometry is tiling of the plane. In algebraic geometry, the concept of a curve can be extended to discrete geometries by taking the spectra
Discrete_mathematics
2D surface which extends indefinitely
example, in slightly different guises, is important in algebraic geometry, topology and projective geometry where it may be denoted variously by PG(2, R), RP2
Plane_(mathematics)
Concept in mathematics
program were solved by Lafforgue after many years of effort. Level structure (algebraic geometry) Moduli stack of elliptic curves Drinfeld, Vladimir (1974)
Drinfeld_module
Unsolved problem in geometry
unsolved problem in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular complex algebraic variety to its subvarieties
Hodge_conjecture
Branch of number theory
Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields
Algebraic_number_theory
Branch of mathematics
enormous role in algebraic topology. Its influence has gradually expanded and presently includes commutative algebra, algebraic geometry, algebraic number theory
Homological_algebra
Branch of geometry
In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying
Contact_geometry
Analysis of datasets using techniques from topology
Category theory is the language of modern algebra, and has been widely used in the study of algebraic geometry and topology. It has been noted that "the
Topological_data_analysis
Qualification in mathematics study
Elementary Mathematics, with additional topics including Algebra binomial expansion, proofs in plane geometry, differential calculus and integral calculus. Additional
Additional_Mathematics
elements of algebraic structures. Algebraic analysis motivated by systems of linear partial differential equations, it is a branch of algebraic geometry and algebraic
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Algebraic stack in mathematics
bm+dn)} Fundamental domain Homothety Level structure (algebraic geometry) Moduli of abelian varieties Shimura variety Modular curve
Moduli stack of elliptic curves
Moduli_stack_of_elliptic_curves
Type of geometry
ISBN 978-3-540-90044-3. Mihalek, R.J. (1972). Projective Geometry and Algebraic Structures. New York: Academic Press. ISBN 0-12-495550-9. Polster, Burkard
Projective_geometry
Tool to track locally defined data attached to the open sets of a topological space
possibly singular algebraic varieties). 1957 onwards: Grothendieck extends sheaf theory in line with the needs of algebraic geometry, introducing: schemes
Sheaf_(mathematics)
Algebraic structure used in theoretical physics
to its Hopf algebra of superpolynomials. Using the language of schemes, which combines the geometric and algebraic point of view, algebraic supergroup
Supergroup_(physics)
Algebraic structure with addition, multiplication, and division
rational numbers do. A field is thus a fundamental algebraic structure that is widely used in algebra, number theory, and many other areas of mathematics
Field_(mathematics)
Finite extension of the rationals
theory. This study reveals hidden structures behind the rational numbers, by using algebraic methods. The notion of algebraic number field relies on the concept
Algebraic_number_field
emergence of abstract algebra. This approach explored the axiomatic basis of arbitrary algebraic operations. The invention of new algebraic systems based on
History_of_algebra
Algebraic structure
In mathematics, a Hodge structure, named after W. V. D. Hodge, is an algebraic structure at the level of linear algebra, similar to the one that Hodge
Hodge_structure
Moduli space in the Grothendieck category of schemes
In algebraic geometry, a moduli scheme is a moduli space that exists in the category of schemes developed by French mathematician Alexander Grothendieck
Moduli_scheme
Volume II: Geometry, Progress in Mathematics, Birkhäuser, pp. 271–328, doi:10.1007/978-1-4757-9286-7_12, ISBN 978-1-4757-9286-7 Level n-structures are used
Moduli_of_abelian_varieties
Field of knowledge
continuous deformations. Algebraic topology, the use in topology of algebraic methods, mainly homological algebra. Discrete geometry, the study of finite
Mathematics
here also equivalently the holomorphic cotangent bundle. In terms of algebraic geometry, the equivalent definition is as an invertible sheaf, which squares
Theta_characteristic
Geometrical property
In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object
Symmetry_(geometry)
A∞-operad is a type of operad used in algebraic topology and homotopy theory to describe algebraic structures where the property of associativity is
A∞-operad
Russian mathematician (born 1966)
Medal for "his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the Ricci flow", but he declined
Grigori_Perelman
American mathematician
Shende is an American mathematician known for his work on algebraic geometry, symplectic geometry and quantum computing. He is a professor of Quantum Mathematics
Vivek_Shende
Algebra describing 2D conformal symmetry
Virasoro algebra. This can be further generalized to supermanifolds. The Virasoro algebra also has vertex algebraic and conformal algebraic counterparts
Virasoro_algebra
Invariant of vertex algebra
V {\displaystyle R_{V}} is a commutative algebra it may be studied using the language of algebraic geometry. The associated scheme X ~ V {\displaystyle
Zhu_algebra
British quantum physicist (1935–2025)
and Space-time Structures, Birkbeck, University of London (downloaded 12 June 2013) Basil Hiley: Algebraic quantum mechanics, algebraic spinors and Hilbert
Basil_Hiley
Aspect of geometry
in a geometry of rank r, each maximal flag has exactly r elements. An incidence geometry of rank 2 is commonly called an incidence structure with elements
Flag_(geometry)
American mathematician and Nobel Laureate (1928–2015)
who made fundamental contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations. Nash and fellow game
John_Forbes_Nash_Jr.
ring. Singular homology Differential graded algebra: the algebraic structure arising on the cochain level for the cup product Poincaré duality: swaps
Products in algebraic topology
Products_in_algebraic_topology
Mathematical concept
form, and construct algebraic structures the closed trajectories of their Reeb vector fields; however, these algebraic structures turn out to be independent
Reeb_vector_field
Algebra used in 2D conformal field theories and string theory
In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string
Vertex_operator_algebra
Geometric space
In algebraic geometry, a moduli space of curves is a space whose points correspond to isomorphism classes of algebraic curves. The term "modulus" was
Moduli_of_algebraic_curves
Subfield of computer science and mathematics
biology, computational economics, computational geometry, and computational number theory and algebra. Work in this field is often distinguished by its
Theoretical_computer_science
Particular way of storing and organizing data in a computer
operations are carried out, while the ADT describes the logical form or algebraic structure of the data type—what operations are allowed and what results they
Data_structure
In algebraic geometry, an action of a group scheme is a generalization of a group action to a group scheme. Precisely, given a group S-scheme G, a left
Group-scheme_action
Fundamental space of geometry
of algebraic geometry is built in complex affine spaces and affine spaces over algebraically closed fields. The shapes that are studied in algebraic geometry
Euclidean_space
theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory,
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
History of maths
Categories of abstract algebraic structures including representation theory and universal algebra; Homological algebra; Homotopical algebra; Topology using categories
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Branch of computer science
Computational geometry is a branch of computer science devoted to the study of algorithms that can be stated in terms of geometry. Some purely geometrical
Computational_geometry
In mathematics, invertible homomorphism
as the automorphisms of an algebraic structure form a group, the isomorphisms between two algebras sharing a common structure form a heap. Letting a particular
Isomorphism
Group that is also a differentiable manifold with group operations that are smooth
algebraic structure. The presence of continuous symmetries expressed via a Lie group action on a manifold places strong constraints on its geometry and
Lie_group
Mathematics textbook
interpreted as tropical matrix multiplication. Tropical geometry applies the machinery of algebraic geometry to this system by defining polynomials using addition
Introduction to Tropical Geometry
Introduction_to_Tropical_Geometry
English mathematician (born 1957)
the study of the relation between stability in algebraic geometry and in global differential geometry, both for bundles and for Fano varieties." In January
Simon_Donaldson
Mathematical model of the physical space
analytic geometry, introduced almost 2,000 years later by René Descartes, which uses coordinates to express geometric properties by means of algebraic formulas
Euclidean_geometry
Algebraic structure used in topology
mathematics, specifically in homology theory and algebraic topology, cohomology is a way of attaching algebraic invariants to a topological space or other mathematical
Cohomology
Standardized mathematics test
variables: Integral Analytic geometry Trigonometry Differential equation Secondary school mathematical operations Linear algebra: Matrix System of linear
GRE_Mathematics_Test
General concept and operation in mathematics
category-theoretic way. In a similar vein there is a duality in algebraic geometry between commutative rings and affine schemes: to every commutative
Duality_(mathematics)
Structure in algebraic geometry
In algebraic geometry, the Nisnevich topology, sometimes called the completely decomposed topology, is a Grothendieck topology on the category of schemes
Nisnevich_topology
Creation of a 3D model from a set of images
good geometrical interpretation) it is called an algebraic error. Therefore, compared with algebraic error, we prefer to minimize a geometric error for
3D reconstruction from multiple images
3D_reconstruction_from_multiple_images
Area of mathematical logic
universal algebra + logic where universal algebra stands for mathematical structures and logic for logical theories; and model theory = algebraic geometry − fields
Model_theory
of curves and surfaces with algebraic representation. Franco P. Preparata; Michael Ian Shamos (1985). Computational Geometry - An Introduction. Springer-Verlag
List of books in computational geometry
List_of_books_in_computational_geometry
Property of certain dynamical systems
integrability) the existence of algebraic invariants, having a basis in algebraic geometry (a property known sometimes as algebraic integrability) the explicit
Integrable_system
Study of categorified structures
higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra. A first
Higher-dimensional_algebra
monotonous and sometimes problematic algebraic manipulation tasks. The primary difference between a computer algebra system and a traditional calculator
List of open-source software for mathematics
List_of_open-source_software_for_mathematics
Mathematics taught in primary and secondary school
secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense, algebra, geometry, measurement
Elementary_mathematics
Set with associative invertible operation
generalization used in algebraic geometry is the étale fundamental group. A Lie group is a group that also has the structure of a differentiable manifold;
Group_(mathematics)
In proof theory, the Geometry of Interaction (GoI) was introduced by Jean-Yves Girard shortly after his work on linear logic. In linear logic, proofs can
Geometry_of_interaction
Non-tensorial representation of the spin group
In geometry and physics, spinors (pronounced "spinner"; /spɪnər/) are elements of a complex vector space that can be associated with Euclidean space. Spinors
Spinor
Relation between Lie algebras depicted as a square
construct a geometry with any given algebraic group as symmetries, but this requires starting with the Lie groups and constructing a geometry from them
Freudenthal_magic_square
Type of integrable system
Nigel Hitchin in 1987. It lies on the crossroads of algebraic geometry, the theory of Lie algebras and integrable system theory. It also plays an important
Hitchin_system
Generalization of the concept of parallel lines
has as (two-sided) offsets an algebraic curve of degree 8. A Bézier curve of degree n has as (two-sided) offsets algebraic curves of degree 4n − 2. In particular
Parallel_curve
Type of monoidal category
categories play a role in the algebraic theory of topological quantum information, as they are used to store the algebraic data describing anyons in topological
Modular_tensor_category
Branch of mathematics
Sébastien Maronne, Marco Panza. "Euler, Reader of Newton: Mechanics and Algebraic Analysis". In: Raffaelle Pisano. Newton, History and Historical Epistemology
Geometric_mechanics
Concept in mathematics
characterisation of the Zariski topology on an algebraic curve, and all its powers. The Zariski topology on a product of algebraic varieties is very rarely the product
Zariski_geometry
Guidelines produced by the National Council of Teachers of Mathematics
strands are divided into mathematics content (Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability) and processes (Problem
Principles and Standards for School Mathematics
Principles_and_Standards_for_School_Mathematics
Poset representing certain properties of a polytope
isomorphic or “structure preserving”. This common structure may be represented in an underlying abstract polytope, a purely algebraic partially ordered
Abstract_polytope
In algebraic geometry, the Igusa quartic (also called the Castelnuovo–Richmond quartic CR4 or the Castelnuovo–Richmond–Igusa quartic) is a quartic hypersurface
Igusa_quartic
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
Girl/Female
Tamil
Shape, Structure
Male
English
Variant spelling of English Lovell, LOVEL means "little wolf."
Boy/Male
Muslim
Solid structure
Girl/Female
Tamil
Shape, Structure
Girl/Female
Hindu, Indian, Telugu
The Structure of God
Surname or Lastname
English
English : from a late Old English personal name Lēofweald, composed of the elements lēof ‘dear’, ‘beloved’ + weald ‘power’, ‘rule’.French : variant spelling of Level.
Boy/Male
Shakespearean
King Richard III' Lord Lovel.
Male
Yiddish
(לֶעמְל) Yiddish name LEMEL means "little lamb; meek."
Girl/Female
Indian
Structure
Girl/Female
Indian
Shape, Structure
Boy/Male
Afghan, Arabic, Gujarati, Indian, Muslim
Solid Structure; Lifetime
Girl/Female
Indian, Kashmiri
Body Structure
Surname or Lastname
Jewish (Ashkenazic)
Jewish (Ashkenazic) : variant spelling of Levin.English, North German, and Dutch : from the Germanic personal name represented by Old English Lēofwine, Saxon Liafwin, composed of the elements lēof ‘dear’, ‘beloved’ + wine ‘friend’.English and Scottish : habitational name from places called Leven in East Yorkshire, Fife, and Renfrew. The first is probably from a stream name, possibly derived from a Celtic word meaning smooth (as in Welsh llyfyn). The Scottish place name is from a Gaelic river name meaning ‘elm river’.Dutch and North German : from a Flemish saint’s name, Lefwin (Lieven), the patron saint of Ghent (see Lewin 2).
Girl/Female
Indian
Shape, Structure
Surname or Lastname
English
English : variant spelling of Lovell.
Boy/Male
Indian, Tamil
High Level
Boy/Male
Indian
Solid structure
Surname or Lastname
Jewish
Jewish : variant spelling of Levy.English : variant spelling of Leavey.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : nickname for a fleet-footed or timid person, from Old French levre ‘hare’ (Latin lepus, genitive leporis). It may also have been a metonymic occupational name for a hunter of hares.English (of Norman origin) : topographic name for someone who lived in a place thickly grown with rushes, from Old English lǣfer ‘rush’, ‘reed’, ‘iris’. Compare Laver 3. Great and Little Lever in Greater Manchester (formerly in Lancashire) are named with this word (in a collective sense) and in some cases the surname may also be derived from these places.English (of Norman origin) : possibly from an unrecorded Middle English survival of an Old English personal name, Lēofhere, composed of the elements lēof ‘dear’, ‘beloved’ + here ‘army’.
Boy/Male
Indian
Good Structure
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
Girl/Female
Arabic, Muslim
Praise
Male
Hebrew
(×ָצֵל) Hebrew name ATSEL means "noble." In the bible, this is the name of a place near Jerusalem, and a descendant of Saul.
Girl/Female
American, Australian
Saint Anna
Boy/Male
Hindu, Indian, Marathi
Brave Man on the Earth
Surname or Lastname
English
English : patronymic from Butt 2.
Girl/Female
Native American
Snowbird.
Boy/Male
Hindu
(Son of Parvati)
Boy/Male
Hindu, Indian
Flute
Boy/Male
Hindu, Indian, Punjabi, Sanskrit, Sikh
Gold; That which Shines
Boy/Male
Tamil
Lord Vishnu
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
LEVEL STRUCTURE-ALGEBRAIC-GEOMETRY
a.
Having a definite organic structure; showing differentiation of parts.
v. t.
To perform by algebra; to reduce to algebraic form.
v. t.
To make level; to make horizontal; to bring to the condition of a level line or surface; hence, to make flat or even; as, to level a road, a walk, or a garden.
n.
A uniform or average height; a normal plane or altitude; a condition conformable to natural law or which will secure a level surface; as, moving fluids seek a level.
a.
Even; flat; having no part higher than another; having, or conforming to, the curvature which belongs to the undisturbed liquid parts of the earth's surface; as, a level field; level ground; the level surface of a pond or lake.
a.
Affected with a stricture; as, a strictured duct.
v. i.
To be level; to be on a level with, or on an equality with, something; hence, to accord; to agree; to suit.
a.
Of or pertaining to organit structure; as, a structural element or cell; the structural peculiarities of an animal or a plant.
n.
One versed in algebra.
a.
Well balanced; even; just; steady; impartial; as, a level head; a level understanding. [Colloq.]
v. t.
Figuratively, to bring to a common level or plane, in respect of rank, condition, character, privilege, etc.; as, to level all the ranks and conditions of men.
n.
Manner of organization; the arrangement of the different tissues or parts of animal and vegetable organisms; as, organic structure, or the structure of animals and plants; cellular structure.
a.
Of or pertaining to structure; affecting structure; as, a structural error.
a.
Alt. of Algebraical
v. t.
To adjust or adapt to a certain level; as, to level remarks to the capacity of children.
n.
Arrangement of parts, of organs, or of constituent particles, in a substance or body; as, the structure of a rock or a mineral; the structure of a sentence.
n.
A measurement of the difference of altitude of two points, by means of a level; as, to take a level.
a.
Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings.
n.
A localized morbid contraction of any passage of the body. Cf. Organic stricture, and Spasmodic stricture, under Organic, and Spasmodic.